Polynomial Word Problem

1. The problem statement, all variables and given/known data
A package sent by a courier has the shape of a square prism. The sum of the length of the prism and the perimeter of its base is 100cm. Write a polynomial function to represent the volume V of the package in terms of x.
width and height are in x centimeters, length is in y centimeters

Staff: Mentor

1. The problem statement, all variables and given/known data
A package sent by a courier has the shape of a square prism. The sum of the length of the prism and the perimeter of its base is 100cm. Write a polynomial function to represent the volume V of the package in terms of x.
width and height are in x centimeters, length is in y centimeters

This is as far as I got, am I going in the right direction? Where did I go wrong?

From your first equation above, solve for y to get the length of the prism in terms of x.

Your formula for volume is incorrect, I believe, but I don't know how the problem is defining the term "prism." Is it just a rectangular box? If so, the volume is length x width x height. The volume shouldn't also include the perimeter.

From your first equation above, solve for y to get the length of the prism in terms of x.

Your formula for volume is incorrect, I believe, but I don't know how the problem is defining the term "prism." Is it just a rectangular box? If so, the volume is length x width x height. The volume shouldn't also include the perimeter.

Thank you very much, I was able to solve the question. And yes, it was just a rectangular box.